Answered

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B. Answer the following.
1. What is the least multiple of 90?​

Sagot :

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The multiples of 90 are :

90 * 1 → 90

90 * 2 → 180

90 * 3 → 270

90 * 4 → 360

90 * 5 → 450

90 * 6 → 540

90 * 7 → 630

90 * 8 → 720

90 * 9 → 810

90 * 10 → 900

90 * 11 → 990

90 * 12 → 1080

90 * 13 → 1170

90 * 14 → 1260

90 * 15 → 1350

90 * 16 → 1440

90 * 17 → 1530

90 * 18 → 1620

90 * 19 → 1710

90 * 20 → 1800

90 * 21 → 1890

90 * 22 → 1980

90 * 23 → 2070

90 * 24 → 2160

90 * 25 → 2250

90 * 26 → 2340

90 * 27 → 2430

90 * 28 → 2520

90 * 29 → 2610

90 * 30 → 2700

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Answer:

1. Decompose all numbers into prime factors

90 2 45 3 15 3 5 5 1  

2. Write all numbers as the product of its prime factors

Prime factors of 90 = 2 . 32 . 5

3. Choose the common and uncommon prime factors with the greatest exponent

Common prime factors: 2 , 3 , 5

Common prime factors with the greatest exponent: 21, 32, 51

Uncommon prime factors: None

Uncommon prime factors with the greatest exponent: None

4. Calculate the Least Common Multiple or LCM

Remember, to find the LCM of several numbers you must multiply the common and uncommon prime factors with the greatest exponent of those numbers.

LCM = 21. 32. 51 = 90

Step-by-step explanation:

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